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Finding the Third Proportional to 85,415 and 133,605

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Solution

The third proportional to 85,415 and 133,605 is: 208,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,415 : 133,605 = 133,605 : x
  2. Step 2: Convert to fraction form
    85,415/133,605 = 133,605/x
  3. Step 3: Cross multiply
    85,415x = 133,605 × 133,605
  4. Step 4: Simplify right side
    85,415x = 17,850,296,025
  5. Step 5: Solve for x
    x = 17,850,296,025/85,415
  6. Step 6: Final answer
    x = 208,983.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.